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Simplifying -6r + -4(r + -1) = -1(r + 5) Reorder the terms: -6r + -4(-1 + r) = -1(r + 5) -6r + (-1 * -4 + r * -4) = -1(r + 5) -6r + (4 + -4r) = -1(r + 5) Reorder the terms: 4 + -6r + -4r = -1(r + 5) Combine like terms: -6r + -4r = -10r 4 + -10r = -1(r + 5) Reorder the terms: 4 + -10r = -1(5 + r) 4 + -10r = (5 * -1 + r * -1) 4 + -10r = (-5 + -1r) Solving 4 + -10r = -5 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 4 + -10r + r = -5 + -1r + r Combine like terms: -10r + r = -9r 4 + -9r = -5 + -1r + r Combine like terms: -1r + r = 0 4 + -9r = -5 + 0 4 + -9r = -5 Add '-4' to each side of the equation. 4 + -4 + -9r = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -9r = -5 + -4 -9r = -5 + -4 Combine like terms: -5 + -4 = -9 -9r = -9 Divide each side by '-9'. r = 1 Simplifying r = 1
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